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Simplifying 55(-78 + 88a) + -8(a + 1) = 99(a + 8) (-78 * 55 + 88a * 55) + -8(a + 1) = 99(a + 8) (-4290 + 4840a) + -8(a + 1) = 99(a + 8) Reorder the terms: -4290 + 4840a + -8(1 + a) = 99(a + 8) -4290 + 4840a + (1 * -8 + a * -8) = 99(a + 8) -4290 + 4840a + (-8 + -8a) = 99(a + 8) Reorder the terms: -4290 + -8 + 4840a + -8a = 99(a + 8) Combine like terms: -4290 + -8 = -4298 -4298 + 4840a + -8a = 99(a + 8) Combine like terms: 4840a + -8a = 4832a -4298 + 4832a = 99(a + 8) Reorder the terms: -4298 + 4832a = 99(8 + a) -4298 + 4832a = (8 * 99 + a * 99) -4298 + 4832a = (792 + 99a) Solving -4298 + 4832a = 792 + 99a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-99a' to each side of the equation. -4298 + 4832a + -99a = 792 + 99a + -99a Combine like terms: 4832a + -99a = 4733a -4298 + 4733a = 792 + 99a + -99a Combine like terms: 99a + -99a = 0 -4298 + 4733a = 792 + 0 -4298 + 4733a = 792 Add '4298' to each side of the equation. -4298 + 4298 + 4733a = 792 + 4298 Combine like terms: -4298 + 4298 = 0 0 + 4733a = 792 + 4298 4733a = 792 + 4298 Combine like terms: 792 + 4298 = 5090 4733a = 5090 Divide each side by '4733'. a = 1.075427847 Simplifying a = 1.075427847
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